Even order self adjoint time scale problems

Even order self adjoint differential time scale expressions are introduced, together with associated self adjoint boundary conditions; the result is established by induction. Several fourth-order nabla-delta delta-nabla examples are given for select self adjoint boundary conditions, together with th...

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Main Authors: Douglas R. Anderson, Joan Hoffacker
Format: Article
Language:English
Published: Texas State University 2005-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2005/24/abstr.html
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author Douglas R. Anderson
Joan Hoffacker
author_facet Douglas R. Anderson
Joan Hoffacker
author_sort Douglas R. Anderson
collection DOAJ
description Even order self adjoint differential time scale expressions are introduced, together with associated self adjoint boundary conditions; the result is established by induction. Several fourth-order nabla-delta delta-nabla examples are given for select self adjoint boundary conditions, together with the specific corresponding Green's functions over common time scales. One derived Green's function is shown directly to be symmetric.
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spelling doaj.art-15a32bb376464ae58a71d4a601854fb62022-12-22T02:31:27ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912005-02-0120052419Even order self adjoint time scale problemsDouglas R. AndersonJoan HoffackerEven order self adjoint differential time scale expressions are introduced, together with associated self adjoint boundary conditions; the result is established by induction. Several fourth-order nabla-delta delta-nabla examples are given for select self adjoint boundary conditions, together with the specific corresponding Green's functions over common time scales. One derived Green's function is shown directly to be symmetric.http://ejde.math.txstate.edu/Volumes/2005/24/abstr.htmlTime scalesboundary value problemsymmetric Green's function.
spellingShingle Douglas R. Anderson
Joan Hoffacker
Even order self adjoint time scale problems
Electronic Journal of Differential Equations
Time scales
boundary value problem
symmetric Green's function.
title Even order self adjoint time scale problems
title_full Even order self adjoint time scale problems
title_fullStr Even order self adjoint time scale problems
title_full_unstemmed Even order self adjoint time scale problems
title_short Even order self adjoint time scale problems
title_sort even order self adjoint time scale problems
topic Time scales
boundary value problem
symmetric Green's function.
url http://ejde.math.txstate.edu/Volumes/2005/24/abstr.html
work_keys_str_mv AT douglasranderson evenorderselfadjointtimescaleproblems
AT joanhoffacker evenorderselfadjointtimescaleproblems